Example 1 (from Program LA_GEES

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Example 1 (from Program LA_GEES_EXAMPLE)

$\begin{displaymath} A = \left( \begin{array}{rrrrr} -2 & -8 & 1 & 2 & -5 \\ 6... ... -4 \\ 2 & -6 & 4 & 9 & -3 \\ \hline \end{array} \end{array}\end{displaymath}$

The call:
CALL LA_GEES( A, WR, WI )

${\bf A}$ , ${\bf WR}$ and ${\bf WI}$ on exit:

$\begin{displaymath} \begin{array}{cc} {\bf A} \\ \begin{array}{\vert rlrlr\ve... ...00000 & ~~0.00000 & -5.48541 \\ \hline \end{array} \end{array}\end{displaymath}$

$\begin{displaymath} \begin{array}{cc} {\bf WR} \\ \begin{array}{\vert r\vert}... ...80078 \\ -3.80078 \\ 0.00000 \\ \hline \end{array} \end{array}\end{displaymath}$

The real-Schur form

of matrix

is:

$\begin{displaymath} T =\left( \begin{array}{rlrlr} -2.21691 & ~~1.34518 \times ... ...~0.00000 & 0.00000 & ~~0.00000 & -5.48541 \end{array} \right). \end{displaymath}$

The eigenvalues of

are:

$\begin{displaymath} \left( \begin{array}{l} -2.21691 + 8.59661i \\ -2.21691 -... ... \;\;\; 4.45961 - 3.80078i \\ -5.48541 \end{array} \right). \end{displaymath}$

Susan Blackford 2001-08-19